Cook the noodles in a large pot of boiling water for 4 minutes, adding the sugar snap peas for the last minute of cooking. Drain and set aside.
Meanwhile, in a large skillet or saucepan, combine the apricot preserves (or orange marmalade), soy sauce, mirin, and sesame oil. Set the pan over medium heat and bring to a simmer. Add the chicken and cook for 1 to 2 minutes to heat through. Fold in the noodles, snow peas, and fresh cilantro.
Season to taste with salt and black pepper and serve.